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Finding the Third Proportional to 999,847.13 and 2,151,424.13

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Solution

The third proportional to 999,847.13 and 2,151,424.13 is: 4,629,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,847.13 : 2,151,424.13 = 2,151,424.13 : x
  2. Step 2: Convert to fraction form
    999,847.13/2,151,424.13 = 2,151,424.13/x
  3. Step 3: Cross multiply
    999,847.13x = 2,151,424.13 × 2,151,424.13
  4. Step 4: Simplify right side
    999,847.13x = 4,628,625,765,632.02
  5. Step 5: Solve for x
    x = 4,628,625,765,632.02/999,847.13
  6. Step 6: Final answer
    x = 4,629,333.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.